No! thats all ther eis to it there is no gray area here and second chances dont apply here especially with the word drunk in the equation. Kinda of scary actually.
You dont recover easily from some guy hitting you even if you think he loves you. You may experince many other things after if you try to repair a realtionship or a nose that he gave you. Things get worse. Hes not worth it but you are. Treat yourself that way. Be bold and go.
dont be afraid of the emotional pain you experience when you leave, just think of the pain you will endure if you stay